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All results from a given calculation for Na2S (Sodium sulfide)

using model chemistry: B3PW91/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no D*H 1ΣG
1 2 yes C2V 1A1

Conformer 1 (D*H)

Jump to S1C2
Energy calculated at B3PW91/6-311+G(3df,2p)
 hartrees
Energy at 0K-722.735670
Energy at 298.15K 
HF Energy-722.735670
Nuclear repulsion energy90.707119
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3PW91/6-311+G(3df,2p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Σg 281 269 0.00 186.16 0.08 0.15
2 Σu 429 411 111.63 0.00 0.00 0.00
3 Πu 34i 32i 66.05 0.00 0.00 0.00
3 Πu 34i 32i 66.05 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 321.3 cm-1
Scaled (by 0.9573) Zero Point Vibrational Energy (zpe) 307.6 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3PW91/6-311+G(3df,2p)
B
0.06331

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311+G(3df,2p)

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.000
Na2 0.000 0.000 2.406
Na3 0.000 0.000 -2.406

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.40652.4065
Na22.40654.8130
Na32.40654.8130

picture of Sodium sulfide state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Na2 S1 Na3 180.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.244      
2 Na 0.122      
3 Na 0.122      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.599 0.000 0.000
y 0.000 -30.599 0.000
z 0.000 0.000 18.042
Traceless
 xyz
x -24.321 0.000 0.000
y 0.000 -24.321 0.000
z 0.000 0.000 48.641
Polar
3z2-r297.282
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.907 0.000 0.000
y 0.000 12.907 0.000
z 0.000 0.000 21.081


<r2> (average value of r2) Å2
<r2> 136.391
(<r2>)1/2 11.679

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B3PW91/6-311+G(3df,2p)
 hartrees
Energy at 0K-722.736560
Energy at 298.15K 
HF Energy-722.736560
Nuclear repulsion energy91.499880
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3PW91/6-311+G(3df,2p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 303 290 15.01      
2 A1 45 43 41.86      
3 B2 400 383 90.06      

Unscaled Zero Point Vibrational Energy (zpe) 373.8 cm-1
Scaled (by 0.9573) Zero Point Vibrational Energy (zpe) 357.8 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3PW91/6-311+G(3df,2p)
ABC
0.80049 0.07700 0.07024

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.612
Na2 0.000 2.182 -0.445
Na3 0.000 -2.182 -0.445

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.42452.4245
Na22.42454.3642
Na32.42454.3642

picture of Sodium sulfide state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Na2 S1 Na3 128.321
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -0.430      
2 Na 0.215      
3 Na 0.215      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -5.747 5.747
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.801 0.000 0.000
y 0.000 8.847 0.000
z 0.000 0.000 -29.631
Traceless
 xyz
x -20.409 0.000 0.000
y 0.000 39.063 0.000
z 0.000 0.000 -18.654
Polar
3z2-r2-37.308
x2-y2-39.648
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.316 0.000 0.000
y 0.000 21.312 0.000
z 0.000 0.000 14.851


<r2> (average value of r2) Å2
<r2> 125.838
(<r2>)1/2 11.218